# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0649 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0649?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2) # Folio 629, page id 851387705:0649 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=649 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000649.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.87 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. (III 1 1 Er libram fivum; prout allius elevatur, ila plus penderat, seu majori in pondere um supra libram; minori. Ouod, inspectis fisuris, Ctarim pa- cebit. Ouippe distanciae xstimandae sunc, non secundum lonsicudines C B P aequipollet: At sed C. D, Cid: ut ex 4 hujus patebit. similicer positos, deseribant B, F, puncta; eadem semper uiriulque erit obliquitas mots. Adeoque e eadem ratio momencorum; pex primam partem hujus. AF que omnino perinde etl, arque A Libra X P. (iptI C. B parallela) cirea centrum _ texretur. IV. AC vero, A LC Tupra libram, nec intra, sed a latere, astirum tc Pondus F; (incellige, ita ut rorata libra AL B CHICa aselI XCS, SinE ubique C Z, BL, In F18. 73 eodem plano: ) eric eadem ubique momentorum ratio, ponderum in A ∞ L, HOI minus quam in A _ B, potitorum. Cum enim parallelos arcus, aequales similes de SCHOFTV Eque hujus ope, quae uccunque, ad rarias circa eundem Axem libras (con nexaS tamen) in rariis Planis applicantur Pondera (pura in parallelis pla nis Perpendicularibus Der AB, XF, _c.) ad corum unum reducuntur. Pexinde siguidem Ponderat P. Pondus, ubiciGue I BP. recta intirica tuerie, acque II eset in ipso B puncto. Ut jam ostentum cst. Suxe autem ita ad unum Planum reducuntur Poullera; cadem, pex 4 trujus, ad unam ejusdem rectam quamlibet (utcunque inHd, Cuprare fuerint) redueun CuX. Fec liquidem ponderanu, ubicunqile Luct in eodem Lerpendiculo (lire rerera, lire huc uc modo dictum est, rclua) alque li in ipla quam quis relie iltius Plans lecta cMent. Or ibidem probatiu crat. Duxque ita ac una blam reducta tunt policeta, Caltemt ee al unum iplius Punctum, AquilibEI Centrunu MOX reduCT, Det 20. AujuS. Quippe ita per inde Ponderane tumul omnia, acque I ex illo pulcto dependerent. Ot ibidem probabieme. men alia lic directio ririum in A c B acbcalcu, rallabtus, pro raria Librae potirione, momentorum incer se ratio; atque ita quidem ut in proxolitione est altirmarum. Esto enim, rerbi cracia AB librae susum, in liu Eoriconcali po. V. L011O, Manente sugo recto AB, e cencro motus in ipta Libra, C: St la- F. 1B. 4 Cicum; ejusque puncto B applicatum grare; adeoque virium Directio BL de H0 rixontem perpendicularis: Puncto autem A, vis alia quaeris (puca, huntaltan, adhibita, lecundum directionem AF (ipsi B P minime paralletam;) cui quidet AF Parallela L _, peripheriam puncto A (circa C. xotando) deseripCal lalxal in Li; (intra rel supra punctum A, prout conciserit) Manilestum urique el k HK moto